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Finding the Fourth Proportional to 5,706.14, 7,875.51 and 3,316.44

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Solution

The fourth proportional to 5,706.14, 7,875.51 and 3,316.44 is: 4,577.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.14 : 7,875.51 = 3,316.44 : x
  2. Step 2: Convert to fraction form
    5,706.14/7,875.51 = 3,316.44/x
  3. Step 3: Cross multiply
    5,706.14x = 7,875.51 × 3,316.44
  4. Step 4: Simplify right side
    5,706.14x = 26,118,656.38
  5. Step 5: Solve for x
    x = 26,118,656.38/5,706.14
  6. Step 6: Final answer
    x = 4,577.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.